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000724068 1001_ $$aKlawitter, Daniel,$$eauthor.
000724068 24510 $$aClifford algebras$$h[electronic resource] :$$bgeometric modelling and chain geometries with application in kinematics /$$cDaniel Klawitter ; foreword by Prof. Dr. Gunter Weiss.
000724068 264_1 $$aWiesbaden :$$bSpringer Spektrum,$$c[2015]
000724068 264_4 $$c©2015
000724068 300__ $$a1 online resource (xviii, 216 pages) :$$billustrations (some color)
000724068 336__ $$atext$$btxt$$2rdacontent
000724068 337__ $$acomputer$$bc$$2rdamedia
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000724068 500__ $$a"Dissertation TU Dresden, 2014."
000724068 504__ $$aIncludes bibliographical references and index.
000724068 5050_ $$aModels and representations of classical groups -- Clifford algebras, chain geometries over Clifford algebras -- Kinematic mappings for Pin and Spin groups -- Cayley-Klein geometries.
000724068 506__ $$aAccess limited to authorized users.
000724068 520__ $$aAfter revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras. The Clifford algebra calculus is used to construct new models that allow descriptions of the group of projective transformations and inversions with respect to hyperquadrics. Afterwards, chain geometries over Clifford algebras and their subchain geometries are examined. The author applies this theory and the developed methods to the homogeneous Clifford algebra model corresponding to Euclidean geometry. Moreover, kinematic mappings for special Cayley-Klein geometries are developed. These mappings allow a description of existing kinematic mappings in a unifying framework. Contents Models and representations of classical groups Clifford algebras, chain geometries over Clifford algebras Kinematic mappings for Pin and Spin groups Cayley-Klein geometries Target Groups Researchers and students in the field of mathematics, physics, and mechanical engineering About the Author Daniel Klawitter is a scientific assistant at the Institute of Geometry at the Technical University of Dresden, Germany.
000724068 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 20, 2014).
000724068 650_0 $$aClifford algebras.
000724068 650_0 $$aKinematics.
000724068 7001_ $$aWeiss, Gunter,$$eauthor of introduction, etc.
000724068 77608 $$iPrint version:$$z9783658076177
000724068 852__ $$bebk
000724068 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-658-07618-4$$zOnline Access$$91397441.1
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